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LegendreQ
LegendreQ[
n
,
z
] gives the Legendre function of the second kind . LegendreQ[
n
,
m
,
z
] gives the associated Legendre function of the second kind .
Mathematical function (see Section A.3.10). For integer n and m, explicit formulas are generated. The Legendre functions satisfy the differential equation . LegendreQ[
n
,
m
,
a
,
z
] gives Legendre functions of type a. The default is type 1. LegendreQ of types 1, 2 and 3 are defined in terms of LegendreP of these types, and have the same branch cut structure. See the Mathematica book: Section 3.2.10.
Further Examples
This gives the second associated Legendre function of the second kind in the variable z.
In[1]:= 
Out[1]= 
This gives the first associated Legendre function of the second kind.
In[2]:= 
Out[2]= 
This is the derivative.
In[3]:= 
Out[3]= 
This is a series expansion around .
In[4]:= 
Out[4]= 
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